Given numbers are 456,382,279,613

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 456,382,279,613 is 4965255864.

Find LCM of 456,382,279,613 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 76 x 191 x 93 x 613 = 4965255864

Therefore, the lowest common multiple of 456,382,279,613 is 4965255864.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

456 x 382 x 279 x 613 = 29791535184

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

456 : 1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

382 : 1, 2, 191, 382

279 : 1, 3, 9, 31, 93, 279

613 : 1, 613

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 456,382,279,613, is 1.

Now, the common factors can be found like this.

456:2x 2x 2x 3x 19

382:2x 191

279:3x 3x 31

613:613

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3 = 6

Therefore, the value for common factors is 6.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 29791535184/(1x6)

LCM = 29791535184/6

LCM = 4965255864

Thus, we can understand that the LCM of 456,382,279,613 is 4965255864.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 130, 376, 851, 877
• LCM of 993, 975, 308, 149
• LCM of 975, 268, 910, 178
• LCM of 459, 322, 459, 777
• LCM of 738, 683, 971, 273

1. What is the LCM of 456, 382, 279, 613?

Answer: LCM of 456, 382, 279, 613 is 4965255864.

2. How to calculate the LCM of 456, 382, 279, 613?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 456, 382, 279, 613.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.